Abstract
Abstract For a class of nonlinear systems, a novel memoryless controller is designed by using the observer-based backstepping method. An observer is proposed to estimate the unmeasurable state of the system. The proposed controller solves the signal boundedness problem of the system under the appropriate design parameters. In the backstepping process, we construct novel Lyapunov-Krasovkii functional and appropriate control gain function in each step to solve the unknown time delays which exist in each system state. Finally, we apply the new control method to a two-stage chemical reactor system with delayed recycle streams, and the effectiveness of this method is illustrated in the simulation results.
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